Abstract: Ant colony optimization(ACO),a global optimization method,is proposed to analyze ground state energy of quantum mechanical systems.It simulates the way that real ants find a shortest path from nest to food source and back.In order to reduce iterations and improve solutions,ACO algorithm for ground state energy is modified.The proposed method exhibits advantage compared with traditional variation method.Ground state energy of helium atom and hydrogenic donors in GaAs-(Ga,Al)As quantum dot are calculated.The algorithm is demonstrated via comparison with variational method and genetic algorithms (GAs).